Question

WILL GIVE BRAINLEST please explain with work if possible

Answer 1

Answer:

a)60°

b)BD=10

c)AB=20

d)100√3

Step-by-step explanation:

B

let's BD be x

according to the question

$\tan( {30}^{o} ) = \frac{x}{10 \sqrt{3} }$

$\frac{ \sqrt{3} }{3} = \frac{x}{10 \sqrt{3} }$

$3x = 10 \sqrt{3} \times \sqrt{3}$

$3x = 30$

$x = 10$

therefore

BD=10

c)

according to Pythagoras theorem

a²+b²=c²

c=√a²+b²

c=√10²+(10√3)²

c=√100+300

c=√400

c=20

D)

the two triangles are congruent

so AC=2(10√3)

=20√3

as we know

area of a triangle =

½bh

=½×20√3×10

=10√3×10

=100√3

this will guide you